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Let G be a graph with vertex set V(G) = {v1, v2, V3, V4, V5, V6, V7} and edge set E(G) = {v1v2, V2V3, VZV4, V4V5, V4V1, V3V5, V6V1, V6V2, V6V4, V7V2, V7V3, V7V4} Let H be a graph with vertex set V (H)= {u1, U2, U3, U4, U5, U6, U7} and edge set E(H)={u1u2, U1U5, U2U3, U2U4, UQU5, U2U7, UZU6, UZU7, U4U5, UĄU6, U5U6, U6U7} Are the graphs G and H isomorphic? If they are, then give a bijection f : V (G) V(H) that certifies this, and if they are not, explain why they are not.

Let G be a graph with vertex set V(G) = {v1, v2, V3, V4, V5, V6, V7} and edge set E(G) = {v1v2, V2V3, VZV4, V4V5, V4V1, V3V5, V6V1, V6V2, V6V4, V7V2, V7V3, V7V4} Let H be a graph with vertex set V (H)= {u1, U2, U3, U4, U5, U6, U7} and edge set E(H)={u1u2, U1U5, U2U3, U2U4, UQU5, U2U7, UZU6, UZU7, U4U5, UĄU6, U5U6, U6U7} Are the graphs G and H isomorphic? If they are, then give a bijection f : V (G) V(H) that certifies this, and if they are not, explain why they are not.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let G be a graph with vertex set V(G) = {v1, v2, V3, V4, V5, V6, V7} and edge set E(G) = {v1v2, V2V3, VZV4, V4V5, V4V1, V3V5, V6V1, V6V2, V6V4, V7V2, V7V3, V7V4} Let H be a graph with vertex set V (H)= {u1, U2, U3, U4, U5, U6, U7} and edge set E(H)={u1u2, U1U5, U2U3, U2U4, UQU5, U2U7, UZU6, UZU7, U4U5, UĄU6, U5U6, U6U7} Are the graphs G and H isomorphic? If they are, then give a bijection f : V (G) V(H) that certifies this, and if they are not, explain why they are not.
Transcribed Image Text:Let G be a graph with vertex set V(G) = {v1, v2, V3, V4, V5, V6, V7} and edge set E(G) = {v1v2, V2V3, VZV4, V4V5, V4V1, V3V5, V6V1, V6V2, V6V4, V7V2, V7V3, V7V4} Let H be a graph with vertex set V (H)= {u1, U2, U3, U4, U5, U6, U7} and edge set E(H)={u1u2, U1U5, U2U3, U2U4, UQU5, U2U7, UZU6, UZU7, U4U5, UĄU6, U5U6, U6U7} Are the graphs G and H isomorphic? If they are, then give a bijection f : V (G) V(H) that certifies this, and if they are not, explain why they are not.
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